The number of words (with or without meaning) that can be formed from all the letters of the word $"LETTER"$ in which vowels never come together is
$80$
$100$
$120$
$60$
A group of students comprises of $5$ boys and $n$ girls. If the number of ways, in which a team of $3$ students can randomly be selected from this group such that there is at least one boy and at least one girl in each team, is $1750$, then $n$ is equal to
The number of ways in which thirty five apples can be distributed among $3$ boys so that each can have any number of apples, is
The number of four-letter words that can be formed with letters $a, b, c$ such that all three letters occur is
A man has $7$ friends. In how many ways he can invite one or more of them for a tea party
What is the number of ways of choosing $4$ cards from a pack of $52$ playing cards? In how many of these
are face cards,